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<h3><center>Standard 1</center></h3>
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       Crossword information is:
		DATE = Wed Dec  8 08:01:42 2010
		PDFfont = DejaVuSans.ttf
		Submit = Make Puzzle
		Submit.x = 99
		Submit.y = 25
		auth = REP
		clue0 = The point of concurrency of the perpendicular bisectors of a triangle.
		clue1 = In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side.
		clue10 = An indirect proof in which one assumes that the statment to be proved is false. One then uses logical reasoning to deduce a statment that contradicts a postulate, theorem, or one of the assumptions. Once a contradiction is obtained, one concludes that the statement assumed false must in face be true.
		clue11 = Reasoning that assumes that the conclusion is false and then shows that this assumption leads to a contradiciton of the hypothesis or some other accepted fact, like a postulate, theorem, or corollary. Then, since the assumption has been proved false, the conclusion must be true.
		clue12 = An indirect proof in which one assumes that the statment to be proved is false. One then uses logical reasoning to deduce a statment that contradicts a postulate, theorem, or one of the assumptions. Once a contradiction is obtained, one concludes that the statement assumed false must in face be true.
		clue13 = The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
		clue14 = If two sides of a triangle are congruent to two sides of another triangle and the included angle in one triangle has a greater measure than the included angle in the other, then the third side of the first trianlge is longer than the third side of the second triangle.
		clue15 = If two sides of a triangle are congruent to two sides of another triangle and the third side in one triangle is longer than the third side in the other, then the anlge between the pair of congruent sides in the first triangle is greater than the correspoinding angle in the second triangle.
		clue16 = Angle of a triangle that's measure is greater than the measure of either of its corresponding remote interior angles.
		clue17 = The perpendicular segment from a point to a plane is the shortest segment from the point to the plane.
		clue18 = The perpendicular segment from a point to a line is the shortest segment from the point to the line.
		clue19 = If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.
		clue2 = When three or more lines intersect at a common point.
		clue20 = If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side.
		clue21 = Any point equidistant from the sides of an angle lies on the angle bisector.
		clue22 = Any point on the angle bisector is equidistant from the sides of the angle.
		clue23 = Any point equidistant from the endpoints of a segment lies on the perpendicular bisctor of the segment.
		clue24 = Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.
		clue3 = The point of intersection of concurrent lines.
		clue4 = The point of concurrency of the angle bisectors of a triangle.
		clue5 = A segment whose endpoints are a vertex of a triangle and the midpoint of the side opposite the vertex.
		clue6 = Point of concurrency for the medians of a triangle.
		clue7 = Segment from a vertex to the line containing the opposite side and perpendicular to the line containing that side.
		clue8 = The intersection point of the altitudes of a triangle.
		clue9 = A plane figure with three straight sides and three angles.
		cmd = index
		collection = 0
		color = black
		currenttime = Wed Dec  8 08:01:42 2010
		dir = REP
		expand = 7
		freeform = no
		language = English
		maxtime = 60
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		title = Standard 1
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		word0 = Circumcenter
		word1 = Perpendicular Bisector
		word10 = Indirect proof
		word11 = Indirect reasoning
		word12 = Proof of Contradiction
		word13 = Triangle Inequality Theorem
		word14 = SAS Inequality Theorem
		word15 = SSS Inequality Theorem
		word16 = Exterior Angle Inequality Theorem
		word17 = Corollary 5.1
		word18 = Theorem 5.12
		word19 = Theorem 5.10
		word2 = Concurrent lines
		word20 = Theorem 5.9
		word21 = Theorem 5.5
		word22 = Theorem 5.4
		word23 = Theorem 5.2
		word24 = Theorem 5.1
		word3 = Point of Concurrency
		word4 = Incenter
		word5 = Median
		word6 = Centroid
		word7 = Altitude
		word8 = Orthocenter
		word9 = Triangle

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width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">4</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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<td align="left" height="20" valign="top" width="20"><font size="-2">6</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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<tr><td align="left" height="20" valign="top" width="20"><font size="-2">8</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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<td align="left" height="20" valign="top" width="20"><font size="-2">10</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">12</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">13</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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width="20"></td>
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width="20"></td>
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width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">15</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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width="20"></td>
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width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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width="20"></td>
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width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
</tr>
<tr><td align="left" height="20" valign="top" width="20"><font size="-2">16</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">17</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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width="20"></td>
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width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">18</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
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<tr><td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">19</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">20</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
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<td align="left" height="20" valign="top" width="20"><font size="-2">21</font></td>
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
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src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
</tr>
<tr><td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
</tr>
<tr><td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">23</font></td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
</tr>
<tr><td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td align="left" height="20" valign="top" width="20"><font size="-2">24</font></td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
</tr>
<tr><td align="left" height="20" valign="top" width="20"><font size="-2">25</font></td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
</tr>
<tr><td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td height="20" width="20">&nbsp;</td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
<td bgcolor="black" height="20" width="20"><img 
src="standard%201%20crossword%20puzzle_files/black.gif" height="20" 
width="20"></td>
</tr>
</tbody></table>

</p>
<!-- End Puzzle -->

<p>
<table>
  <tbody><tr>
    <td valign="top">
      <table>
<tbody><tr><th colspan="2">Across</th></tr>
<tr><td valign="top">  1.</td><td>A segment whose endpoints are a vertex
 of a triangle and the midpoint of the side opposite the vertex.</td></tr>

<tr><td valign="top">  4.</td><td>In a triangle, a line, segment, or ray
 that passes through the midpoint of a side and is perpendicular to that
 side. (2 Words)</td></tr>

<tr><td valign="top">  5.</td><td>The point of concurrency of the angle 
bisectors of a triangle.</td></tr>

<tr><td valign="top">  9.</td><td>The perpendicular segment from a point
 to a plane is the shortest segment from the point to the plane. (2 
Words)</td></tr>

<tr><td valign="top"> 14.</td><td>Any point on the angle bisector is 
equidistant from the sides of the angle. (2 Words)</td></tr>

<tr><td valign="top"> 16.</td><td>The sum of the lengths of any two 
sides of a triangle is greater than the length of the third side. (3 
Words)</td></tr>

<tr><td valign="top"> 17.</td><td>Point of concurrency for the medians 
of a triangle.</td></tr>

<tr><td valign="top"> 19.</td><td>Any point equidistant from the 
endpoints of a segment lies on the perpendicular bisctor of the segment.
 (2 Words)</td></tr>

<tr><td valign="top"> 22.</td><td>If two sides of a triangle are 
congruent to two sides of another triangle and the included angle in one
 triangle has a greater measure than the included angle in the other, 
then the third side of the first trianlge is longer than the third side 
of the second triangle. (3 Words)</td></tr>

<tr><td valign="top"> 23.</td><td>When three or more lines intersect at a
 common point. (2 Words)</td></tr>

<tr><td valign="top"> 24.</td><td>If one angle of a triangle has a 
greater measure than another angle, then the side opposite the greater 
angle is longer than the side opposite the lesser angle. (2 Words)</td></tr>

<tr><td valign="top"> 25.</td><td>If one side of a triangle is longer 
than another side, then the angle opposite the longer side has a greater
 measure than the angle opposite the shorter side. (2 Words)</td></tr>
</tbody></table>

    </td>
    <td valign="top">
      <table>
<tbody><tr><th colspan="2">Down</th></tr>
<tr><td valign="top">  2.</td><td>Angle of a triangle that's measure is 
greater than the measure of either of its corresponding remote interior 
angles. (4 Words)</td></tr>

<tr><td valign="top">  3.</td><td>A plane figure with three straight 
sides and three angles.</td></tr>

<tr><td valign="top">  6.</td><td>The intersection point of the 
altitudes of a triangle.</td></tr>

<tr><td valign="top">  7.</td><td>An indirect proof in which one assumes
 that the statment to be proved is false. One then uses logical 
reasoning to deduce a statment that contradicts a postulate, theorem, or
 one of the assumptions. Once a contradiction is obtained, one concludes
 that the statement assumed false must in face be true. (3 Words)</td></tr>

<tr><td valign="top">  8.</td><td>Reasoning that assumes that the 
conclusion is false and then shows that this assumption leads to a 
contradiciton of the hypothesis or some other accepted fact, like a 
postulate, theorem, or corollary. Then, since the assumption has been 
proved false, the conclusion must be true. (2 Words)</td></tr>

<tr><td valign="top"> 10.</td><td>Any point on the perpendicular 
bisector of a segment is equidistant from the endpoints of the segment. 
(2 Words)</td></tr>

<tr><td valign="top"> 11.</td><td>Any point equidistant from the sides 
of an angle lies on the angle bisector. (2 Words)</td></tr>

<tr><td valign="top"> 12.</td><td>If two sides of a triangle are 
congruent to two sides of another triangle and the third side in one 
triangle is longer than the third side in the other, then the anlge 
between the pair of congruent sides in the first triangle is greater 
than the correspoinding angle in the second triangle. (3 Words)</td></tr>

<tr><td valign="top"> 13.</td><td>The point of intersection of 
concurrent lines. (3 Words)</td></tr>

<tr><td valign="top"> 15.</td><td>An indirect proof in which one assumes
 that the statment to be proved is false. One then uses logical 
reasoning to deduce a statment that contradicts a postulate, theorem, or
 one of the assumptions. Once a contradiction is obtained, one concludes
 that the statement assumed false must in face be true. (2 Words)</td></tr>

<tr><td valign="top"> 18.</td><td>The point of concurrency of the 
perpendicular bisectors of a triangle.</td></tr>

<tr><td valign="top"> 20.</td><td>The perpendicular segment from a point
 to a line is the shortest segment from the point to the line. (2 Words)</td></tr>

<tr><td valign="top"> 21.</td><td>Segment from a vertex to the line 
containing the opposite side and perpendicular to the line containing 
that side.</td></tr>
</tbody></table>

    </td>
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<!-- Answers:
		2	0	d	ExteriorAngleInequalityTheorem	Angle of a triangle that's measure is greater than the measure of either of its corresponding remote interior angles. (4 Words)	2
		0	13	a	TriangleInequalityTheorem	The sum of the lengths of any two sides of a triangle is greater than the length of the third side. (3 Words)	16
		1	3	a	PerpendicularBisector	In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side. (2 Words)	4
		21	5	d	ProofofContradiction	An indirect proof in which one assumes that the statment to be proved is false. One then uses logical reasoning to deduce a statment that contradicts a postulate, theorem, or one of the assumptions. Once a contradiction is obtained, one concludes that the statement assumed false must in face be true. (3 Words)	7
		10	21	a	SASInequalityTheorem	If two sides of a triangle are congruent to two sides of another triangle and the included angle in one triangle has a greater measure than the included angle in the other, then the third side of the first trianlge is longer than the third side of the second triangle. (3 Words)	22
		23	8	d	SSSInequalityTheorem	If two sides of a triangle are congruent to two sides of another triangle and the third side in one triangle is longer than the third side in the other, then the anlge between the pair of congruent sides in the first triangle is greater than the correspoinding angle in the second triangle. (3 Words)	12
		27	8	d	PointofConcurrency	The point of intersection of concurrent lines. (3 Words)	13
		0	6	d	Indirectreasoning	Reasoning that assumes that the conclusion is false and then shows that this assumption leads to a contradiciton of the hypothesis or some other accepted fact, like a postulate, theorem, or corollary. Then, since the assumption has been proved false, the conclusion must be true. (2 Words)	8
		1	26	a	Concurrentlines	When three or more lines intersect at a common point. (2 Words)	23
		4	12	d	Indirectproof	An indirect proof in which one assumes that the statment to be proved is false. One then uses logical reasoning to deduce a statment that contradicts a postulate, theorem, or one of the assumptions. Once a contradiction is obtained, one concludes that the statement assumed false must in face be true. (2 Words)	15
		29	16	d	Circumcenter	The point of concurrency of the perpendicular bisectors of a triangle.	18
		14	6	a	Corollary5.1	The perpendicular segment from a point to a plane is the shortest segment from the point to the plane. (2 Words)	9
		16	5	d	Orthocenter	The intersection point of the altitudes of a triangle.	6
		17	27	a	Theorem5.10	If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle. (2 Words)	24
		25	19	d	Theorem5.12	The perpendicular segment from a point to a line is the shortest segment from the point to the line. (2 Words)	20
		7	8	d	Theorem5.1	Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. (2 Words)	10
		4	19	a	Theorem5.2	Any point equidistant from the endpoints of a segment lies on the perpendicular bisctor of the segment. (2 Words)	19
		5	10	a	Theorem5.4	Any point on the angle bisector is equidistant from the sides of the angle. (2 Words)	14
		10	8	d	Theorem5.5	Any point equidistant from the sides of an angle lies on the angle bisector. (2 Words)	11
		0	28	a	Theorem5.9	If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side. (2 Words)	25
		19	20	d	Altitude	Segment from a vertex to the line containing the opposite side and perpendicular to the line containing that side.	21
		12	15	a	Centroid	Point of concurrency for the medians of a triangle.	17
		2	5	a	Incenter	The point of concurrency of the angle bisectors of a triangle.	5
		12	0	d	Triangle	A plane figure with three straight sides and three angles.	3
		1	0	a	Median	A segment whose endpoints are a vertex of a triangle and the midpoint of the side opposite the vertex.	1

-->

<!-- Solved Puzzle:
		  M E D I A N           T                                   
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		    T                   I                                   
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		    R                   N                                   
		    I N C E N T E R     G       O         P                 
		I   O                   L   C O R O L L A R Y 5 . 1         
		N   R                   E       T         O                 
		D   A         T     T           H         O   S       P     
		I   N         H     H           O         F   S       O     
		R   G     T H E O R E M 5 . 4   C         O   S       I     
		E   L         O     O           E         F   I       N     
		C   E   I     R     R           N         C   N       T     
		T R I A N G L E I N E Q U A L I T Y T H E O R E M     O     
		R   N   D     M     M           E         N   Q       F     
		E   E   I     5     5   C E N T R O I D   T   U       C     
		A   Q   R     .     .                     R   A       O   C 
		S   U   E     1     5                     A   L       N   I 
		O   A   C                                 D   I       C   R 
		N   L   T H E O R E M 5 . 2               I   T   T   U   C 
		I   I   P                             A   C   Y   H   R   U 
		N   T   R           S A S I N E Q U A L I T Y T H E O R E M 
		G   Y   O                             T   I   H   O   E   C 
		    T   O                             I   O   E   R   N   E 
		    H   F                             T   N   O   E   C   N 
		    E                                 U       R   M   Y   T 
		  C O N C U R R E N T L I N E S       D       E   5       E 
		    R                             T H E O R E M 5 . 1 0   R 
		T H E O R E M 5 . 9                               1         
		    M                                             2         

-->

<!-- Time information;
		Wed Dec  8 08:01:42 2010 Start
		Wed Dec  8 08:01:42 2010 25 words in puzzle

-->

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